Stabilized cubic C1-spline collocation method for solving first-order ordinary initial value problems

S. Sallam; M. Naim Anwar

doi:10.1080/00207160008804924

Stabilized cubic C¹-spline collocation method for solving first-order ordinary initial value problems

S. Sallam, M. Naim Anwar

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

This study focuses on the construction of a 'variable' one-parameter cubic C¹-spline collocation method for solving the initial value problem (IVP). The method is shown to be strongly unstable if β > 1/2 . The method is a continuous extension of the A-stabilized version of Simpson's rule.

Original language	English
Pages (from-to)	87-96
Number of pages	10
Journal	International Journal of Computer Mathematics
Volume	74
Issue number	1
DOIs	https://doi.org/10.1080/00207160008804924
Publication status	Published - 2000

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

Access to Document

10.1080/00207160008804924

Cite this

@article{f6bad6f57c984d56b3480f5a90b5370a,

title = "Stabilized cubic C1-spline collocation method for solving first-order ordinary initial value problems",

abstract = "This study focuses on the construction of a 'variable' one-parameter cubic C1-spline collocation method for solving the initial value problem (IVP). The method is shown to be strongly unstable if β > 1/2 . The method is a continuous extension of the A-stabilized version of Simpson's rule.",

author = "S. Sallam and {Naim Anwar}, M.",

year = "2000",

doi = "10.1080/00207160008804924",

language = "English",

volume = "74",

pages = "87--96",

journal = "International Journal of Computer Mathematics",

issn = "0020-7160",

publisher = "Taylor and Francis Ltd.",

number = "1",

}

TY - JOUR

T1 - Stabilized cubic C1-spline collocation method for solving first-order ordinary initial value problems

AU - Sallam, S.

AU - Naim Anwar, M.

PY - 2000

Y1 - 2000

N2 - This study focuses on the construction of a 'variable' one-parameter cubic C1-spline collocation method for solving the initial value problem (IVP). The method is shown to be strongly unstable if β > 1/2 . The method is a continuous extension of the A-stabilized version of Simpson's rule.

AB - This study focuses on the construction of a 'variable' one-parameter cubic C1-spline collocation method for solving the initial value problem (IVP). The method is shown to be strongly unstable if β > 1/2 . The method is a continuous extension of the A-stabilized version of Simpson's rule.

UR - http://www.scopus.com/inward/record.url?scp=0343826058&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0343826058&partnerID=8YFLogxK

U2 - 10.1080/00207160008804924

DO - 10.1080/00207160008804924

M3 - Article

AN - SCOPUS:0343826058

SN - 0020-7160

VL - 74

SP - 87

EP - 96

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

IS - 1

ER -

Stabilized cubic C¹-spline collocation method for solving first-order ordinary initial value problems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this